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GCD of 378, 871, 463 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 378, 871, 463 quickly. Get the easiest ways to solve the greatest common divisor of 378, 871, 463 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 871, 463 with Factoring?

Given Input numbers are 378, 871, 463

In the factoring method, we have to find the divisors of all numbers

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 463 :

The positive integer divisors of 463 that completely divides 463 are.

1, 463


GCD of numbers is the greatest common divisor

So, the GCD (378, 871, 463) = 1.

Find GCD of 378, 871, 463 using Prime Factorization

Given numbers are 378, 871, 463

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 871 are 13 x 67

Prime factors of 463 are 463

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 378, 871, 463 using LCM Formula

Given numbers are 378, 871, 463

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(378, 871) = 329238

GCD(378, 871) = ( 378 x 871 ) / 329238

= 378 / 871

= 378


Step2:

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

= 1 / 463

= 1


So, Greatest Common Divisor of 378, 871, 463 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 871, 463

Given numbers are 378, 871, 463
The greatest common divisor of numbers 378, 871, 463 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 871, 463 is 1.

FAQs on GCD of 378, 871, 463 Calculator

1. What is the GCD of 378, 871, 463?

GCD of given numbers 378, 871, 463 is 1


2. How to calculate the greatest common divisor of 378, 871, 463?

We can find the highest common divisor of 378, 871, 463 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 378, 871, 463 i.e 1.


3. How can I use the GCD of 378, 871, 463Calculator?

Out the numbers 378, 871, 463 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.